85496400 has 360 divisors, whose sum is σ = 345406464. Its totient is φ = 19353600.

The previous prime is 85496393. The next prime is 85496413. The reversal of 85496400 is 469458.

85496400 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673137 + ... + 673263.

Almost surely, 2^85496400 is an apocalyptic number.

85496400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172703232).

85496400 is an abundant number, since it is smaller than the sum of its proper divisors (259910064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85496400 is a wasteful number, since it uses less digits than its factorization.

85496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85496400 is about 9246.4263366990. The cubic root of 85496400 is about 440.5372225934.

The spelling of 85496400 in words is "eighty-five million, four hundred ninety-six thousand, four hundred".